You're right, of course, but if I think of the catholic church I don't only think of their appalling policies, but also of the priest that was a good friend of my parents and traveled from the other side of the (admittedly small) country from the monestary he lived in just to pay them a visit when I was born, even though he was quite old at the time. A person who didn't have a problem with a fellow priest getting married, but did admit to having to get used to being introduced to his second wife after the guy got a divorce (did get used to it though). My mother converted as an adult and was baptized by him, while she was pregnant with me, and not married. And he knew that, but didn't think faith or belief was about those petty things. Considering he was born about a century ago, he was incredibly open-minded. That to me is the church as well, and that is a part I value.
I would have a problem funding the Catholic church, because of those policies, but they do not get any resources from me and I doubt they get any from Mika. Although some countries have state funding of churches depending on the number of members, mine doesn't and if I'm not mistaken those financial flows are also quite limited in the UK. So the power they get from that is extremely limited.
Edit: and what alie says